1921900704768 has 704 divisors, whose sum is σ = 6747436032000. Its totient is φ = 533893939200.

The previous prime is 1921900704743. The next prime is 1921900704769. The reversal of 1921900704768 is 8674070091291.

1921900704768 is a `hidden beast` number, since 1 + 92 + 19 + 0 + 0 + 70 + 476 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (704).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1921900704769) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 179126028 + ... + 179136756.

Almost surely, 2^{1921900704768} is an apocalyptic number.

1921900704768 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1921900704768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3373718016000).

1921900704768 is an abundant number, since it is smaller than the sum of its proper divisors (4825535327232).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1921900704768 is a wasteful number, since it uses less digits than its factorization.

1921900704768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10819 (or 10795 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 54.

The spelling of 1921900704768 in words is "one trillion, nine hundred twenty-one billion, nine hundred million, seven hundred four thousand, seven hundred sixty-eight".